Neutrino tri-bi-maximal mixing from Delta(27)

Physics – High Energy Physics – High Energy Physics - Phenomenology

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to appear in Proceedings of SUSY06, the 14th International Conference on Supersymmetry and the Unification of Fundamental Inte

Scientific paper

10.1063/1.2735208

The observed neutrino mixing, having a near maximal atmospheric neutrino mixing angle and a large solar mixing angle, is close to tri-bi-maximal, putting leptonic mixing in contrast with the small mixing of the quark sector. We discuss a model in which Delta(27) (a subgroup of SU(3)) is the family symmetry, and tri-bi-maximal mixing directly follows from the vacuum structure enforced by the discrete symmetry. The model accounts for the observed quark and lepton masses and the CKM matrix, as well as being consistent with an underlying stage of Grand Unification.

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